Hello from MrBillDoesMath!
Answer:
a) See Discussion below
b) Don't know what "m" refers to
Discussion:
Part a)
A triangle contains 180 degrees.
A + B + C = 180 (*)
where A is the angle inside the triangle.
From the diagram
B +C = 62 + 78 = 140
Substituting this in (*) gives
A + (140) = 180 => subtract 140 from both sides
A = 180 - 140 = 40
Now a line has 180 degrees so x + A = 180. But A = 40 (shown above) so x+ 40 = 180, or x = 140. That is, x = 140 - the sum of the measures of the two nonadjacent interior angles
Part b)
I can't answer this part is it is unclear what "m" refers to. Sorry.
Thank you,
MrB
Answer:
<em>173 children tickets were sold and 201 adult tickets were sold</em>
Step-by-step explanation:
Let the number of child ticket sold be x
Let the number of adult ticket sold be y
If the total number of ticket sold is 374, hence;
x +y = 374 .... 1
Also if the ticket cost 3$ per child and 5$ per adult with total cost of $1524, this can be expressed as;
3x + 5y = 1524..... 2
Solve both equations simultaneously
From 1; x = 374 - y ...3
Substitute equation 3 into 2
3(374-y)+5y = 1524
1122-3y+5y = 1524
1122+2y = 1524
2y = 1524 - 1122
2y = 402
y = 402/2
y = 201
Since x = 374-7
x = 374 - 201
x = 173
<em>Hence 173 children tickets were sold and 201 adult tickets were sold</em>
<em></em>
Answer:
yhtgree
Step-by-step explanation:
Answer:
n = 10
10, 42, 34
Step-by-step explanation:
permiter = length of each of the sides
86 = n + (4n +2) + (2n + 14)
solve for n
n = 10
put n back in the original equations
n = 10
4(10) + 2 = 42
2(10) +14 = 34